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Finding the Fourth Proportional to 6,378.75, 9,568.13 and 2,485.89

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Solution

The fourth proportional to 6,378.75, 9,568.13 and 2,485.89 is: 3,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 9,568.13 = 2,485.89 : x
  2. Step 2: Convert to fraction form
    6,378.75/9,568.13 = 2,485.89/x
  3. Step 3: Cross multiply
    6,378.75x = 9,568.13 × 2,485.89
  4. Step 4: Simplify right side
    6,378.75x = 23,785,306.26
  5. Step 5: Solve for x
    x = 23,785,306.26/6,378.75
  6. Step 6: Final answer
    x = 3,728.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.